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Broad Topics > Applications > physics

Whose Line Graph Is it Anyway?

Stage: 5 Challenge Level:

Which line graph, equations and physical processes go together?

Ramping it Up

Stage: 5 Challenge Level:

Look at the calculus behind the simple act of a car going over a step.

Big and Small Numbers in Physics - Group Task

Stage: 5 Challenge Level:

Work in groups to try to create the best approximations to these physical quantities.

Which Twin Is Older?

Stage: 5

A simplified account of special relativity and the twins paradox.

Escape from Planet Earth

Stage: 5 Challenge Level:

How fast would you have to throw a ball upwards so that it would never land?

Core Scientific Mathematics

Stage: 4 and 5 Challenge Level:

This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.

Big and Small Numbers in Chemistry

Stage: 4 Challenge Level:

Get some practice using big and small numbers in chemistry.

Universal Time, Mass, Length

Stage: 5 Short Challenge Level:

Can you work out the natural time scale for the universe?

Guessing the Graph

Stage: 4 Challenge Level:

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

Physnrich

Stage: 4 and 5 Challenge Level:

PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics

The Not-so-simple Pendulum 1

Stage: 5 Challenge Level:

See how the motion of the simple pendulum is not-so-simple after all.

Constantly Changing

Stage: 4 Challenge Level:

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

Neural Nets

Stage: 5

Find out some of the mathematics behind neural networks.

Moving Stonehenge

Stage: 5 Challenge Level:

A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.

Levels of Bohr

Stage: 5 Challenge Level:

Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.

Ideal Gases

Stage: 5 Challenge Level:

Problems which make you think about the kinetic ideas underlying the ideal gas laws.

The Lorentz Force Law

Stage: 5 Challenge Level:

Explore the Lorentz force law for charges moving in different ways.

Pack Man

Stage: 5 Challenge Level:

A look at different crystal lattice structures, and how they relate to structural properties

Engnrich

Stage: 5 Challenge Level:

engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering

Drug Stabiliser

Stage: 5 Challenge Level:

How does the half-life of a drug affect the build up of medication in the body over time?

Reaction Types

Stage: 5 Challenge Level:

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

Powerfully Fast

Stage: 5 Challenge Level:

Explore the power of aeroplanes, spaceships and horses.

The Power of Dimensional Analysis

Stage: 4 and 5

An introduction to a useful tool to check the validity of an equation.

Striking Gold

Stage: 5 Challenge Level:

Investigate some of the issues raised by Geiger and Marsden's famous scattering experiment in which they fired alpha particles at a sheet of gold.

Lennard Jones Potential

Stage: 5 Challenge Level:

Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges

Gravity Paths

Stage: 5 Challenge Level:

Where will the spaceman go when he falls through these strange planetary systems?

Cannon Balls

Stage: 5 Short Challenge Level:

How high will a ball taking a million seconds to fall travel?

The Not-so-simple Pendulum 2

Stage: 5 Challenge Level:

Things are roughened up and friction is now added to the approximate simple pendulum

Approximately Certain

Stage: 4 and 5 Challenge Level:

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

Stage: 5 Challenge Level:

A look at a fluid mechanics technique called the Steady Flow Momentum Equation.

Stage: 4 Challenge Level:

Which units would you choose best to fit these situations?

Bigger or Smaller?

Stage: 4 Challenge Level:

When you change the units, do the numbers get bigger or smaller?

New Units for Old

Stage: 5 Challenge Level:

Can you match up the entries from this table of units?

A Question of Scale

Stage: 4 Challenge Level:

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

Ancient Astronomical Terms

Stage: 3, 4 and 5

Some explanations of basic terms and some phenomena discovered by ancient astronomers

Pumping the Power

Stage: 5 Challenge Level:

What is an AC voltage? How much power does an AC power source supply?

Mach Attack

Stage: 5 Challenge Level:

Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

Go Spaceship Go

Stage: 5 Challenge Level:

Show that even a very powerful spaceship would eventually run out of overtaking power

Whoosh

Stage: 5 Challenge Level:

A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?

Maths in the Undergraduate Physical Sciences

Stage: 5

An article about the kind of maths a first year undergraduate in physics, engineering and other physical sciences courses might encounter. The aim is to highlight the link between particular maths. . . .

Chemnrich

Stage: 4 and 5 Challenge Level:

chemNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of chemistry, designed to help develop the mathematics required to get the most from your study. . . .

Ideal Axes

Stage: 5 Challenge Level:

Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging

Big and Small Numbers in Physics

Stage: 4 Challenge Level:

Work out the numerical values for these physical quantities.

Eudiometry

Stage: 5 Challenge Level:

When a mixture of gases burn, will the volume change?

Battery Modelling

Stage: 5 Challenge Level:

Find out how to model a battery mathematically

Sweeping Satellite

Stage: 5 Challenge Level:

Derive an equation which describes satellite dynamics.

Diamonds Aren't Forever

Stage: 5 Challenge Level:

Ever wondered what it would be like to vaporise a diamond? Find out inside...

Motorbike Momentum

Stage: 5 Challenge Level:

A think about the physics of a motorbike riding upside down